Defining non-negative (homogeneous) Weier-strass canonical matrix pencils, sFw-ŝGw

Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos

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Abstract

In this paper, our main task is to provide the mathematical characterization for the non-negativity of a given homogeneous real Weierstrass canonical pencil. Following the work of Uhlig [14] and Pantelous et al. [10], we determine analytically the family into a relevant set of indeterminates S, Ŝ. This new approach might be easily transferred into a standard computational routine by using simple Matlab m-files. A numerical example is also provided.

Original languageEnglish
Title of host publicationApplications of Mathematics in Engineering and Economics (AMEE '09) - Proceedings of the 35th International Conference
Pages121-128
Number of pages8
Volume1184
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event35th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2009 - Sozopol, Bulgaria
Duration: 7 Jun 200912 Jun 2009

Conference

Conference35th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2009
CountryBulgaria
CitySozopol
Period7/06/0912/06/09

Keywords

  • Matrix pencil theory
  • Non-negativity
  • Weierstrass canonical form

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